172712 has 8 divisors (see below), whose sum is σ = 323850. Its totient is φ = 86352.

The previous prime is 172709. The next prime is 172717. The reversal of 172712 is 217271.

It can be written as a sum of positive squares in only one way, i.e., 148996 + 23716 = 386^2 + 154^2 .

It is a tau number, because it is divible by the number of its divisors (8).

It is not an unprimeable number, because it can be changed into a prime (172717) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10787 + ... + 10802.

2¹⁷²⁷¹² is an apocalyptic number.

It is an amenable number.

172712 is a deficient number, since it is larger than the sum of its proper divisors (151138).

172712 is a wasteful number, since it uses less digits than its factorization.

172712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21595 (or 21591 counting only the distinct ones).

The product of its digits is 196, while the sum is 20.

The square root of 172712 is about 415.5863327878. The cubic root of 172712 is about 55.6896093095.

Adding to 172712 its reverse (217271), we get a palindrome (389983).

The spelling of 172712 in words is "one hundred seventy-two thousand, seven hundred twelve", and thus it is an iban number.